Solve: 800+0?800-0 | Finding the Missing Digit in a Number Sequence

Q: Why doesn't adding zero change the number?

This is called the Identity Property of Addition. Zero is the additive identity, meaning any number plus zero equals that same number. So 800 + 0 = 800!

Q: How do I know which comparison symbol to use?

Always calculate both sides first, then compare the results. If they're the same (like 800 and 800), use =. If the left is bigger, use >. If the right is bigger, use

Q: What if the numbers were different on each side?

Then you'd get different results! For example, $ 800 + 0 $ vs $ 700 - 0 $ would be 800 vs 700, so you'd use the > symbol.

Q: Do I need to show my work for simple calculations?

Yes! Even with simple problems, showing each step helps avoid mistakes. Write: 800 + 0 = 800 and 800 - 0 = 800, then compare.

Comparison Operations with Identity Properties

$800+0?800-0$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Identify the correct mathematical sign

00:05 Any number plus 0 always equals the number itself

00:14 Any number minus 0 always equals the number itself

00:21 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$800+0?800-0$

Step-by-step solution

To solve the problem $800 + 0 ? 800 - 0$ , follow these steps:

Step 1: Calculate $800 + 0$ . Using the identity property of addition, we get $800 + 0 = 800$ .
Step 2: Calculate $800 - 0$ . Similarly, using the identity property of subtraction, we get $800 - 0 = 800$ .
Step 3: Compare the two results, $800$ and $800$ .

Since both sides yield the same value, $800 = 800$ , we use the equality symbol $=$ to indicate they are equal.

Therefore, the correct relation is $=$ , which corresponds to choice 3.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Adding or subtracting zero leaves numbers unchanged
Technique: Calculate each side first: 800+0=800 and 800-0=800
Check: Compare final values to determine correct symbol: 800=800 ✓

Common Mistakes

Avoid these frequent errors

Assuming different operations give different results
Don't think 800+0 and 800-0 must be different = wrong comparison! Students often expect addition and subtraction to change the outcome differently. Always calculate each side completely before comparing the final values.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why doesn't adding zero change the number?

This is called the Identity Property of Addition. Zero is the additive identity, meaning any number plus zero equals that same number. So 800 + 0 = 800!

What about subtracting zero?

Subtracting zero also leaves the number unchanged! This follows the Identity Property of Subtraction: any number minus zero equals itself. So 800 - 0 = 800.

How do I know which comparison symbol to use?

Always calculate both sides first, then compare the results. If they're the same (like 800 and 800), use =. If the left is bigger, use >. If the right is bigger, use <.

What if the numbers were different on each side?

Then you'd get different results! For example, $800 + 0$ vs $700 - 0$ would be 800 vs 700, so you'd use the > symbol.

Do I need to show my work for simple calculations?

Yes! Even with simple problems, showing each step helps avoid mistakes. Write: 800 + 0 = 800 and 800 - 0 = 800, then compare.

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